Question 1200715: mukami used the digits 3,1,5,2,6,9 to form the largest and the smallest digit number . what was the difference between tha largest and the smallest numbers formed?
Found 2 solutions by math_tutor2020, ikleyn:
Answer by math_tutor2020(3817)   (Show Source):
You can put this solution on YOUR website!
The smallest number possible is 123569
We use the smallest digit first, then next smallest and so on.
I'm assuming no repeat digits are allowed.
If it's not clear why that works, then consider the set {12,21} and it's fairly clear that 12 is the smaller of the two values.
We have 1 go first then 2 next.
Another example would be {123,132,213,231,312,321} showing that 123 is the smallest and 321 is the largest.
Anyways back to the problem at hand.
The largest number possible is 965321. We work the previous logic in reverse.
Difference = largest - smallest = 965321-123569 = 841752 is the final answer.
Answer by ikleyn(52786)  (Show Source):
You can put this solution on YOUR website! .
mukami used the digits 3,1,5,2,6,9 to form the largest and the smallest digit number .
what was the difference between tha largest and the smallest numbers formed?
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The problem's formulation in this post is INCORRECT.
Indeed, following to the given formulation, the smallest number is 1.
I perfectly understand the author's intention, but the formulation in the post DOES NOT correspond to this intention.
The standard formulation for this problem is as follows:
What is the smallest 6-digit integer number, which can be formed using the digits 3, 1, 5, 2, 6, 9,
if every digit is used only once ?
What is the greatest 6-digit integer number, which can be formed using the digits 3, 1, 5, 2, 6, 9,
if every digit is used only once ?
Find the difference between these two numbers.
It is just a bad tradition at this forum posting wrong problems.
I always say in response, that the Math education of the problems' composers at this forum
is from reading puzzles, not from learning Math.
It looks like they are not familiar with high standards of writing Math problems, at all.
Consider to hire 1 - 3 - 5 - 7 - 9 specialists, who will edit your mathematical writing on the daily basis.
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